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Finding the Fourth Proportional to 101,629.26, 152,415.10 and 64,133.14

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Solution

The fourth proportional to 101,629.26, 152,415.10 and 64,133.14 is: 96,181.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,629.26 : 152,415.10 = 64,133.14 : x
  2. Step 2: Convert to fraction form
    101,629.26/152,415.10 = 64,133.14/x
  3. Step 3: Cross multiply
    101,629.26x = 152,415.10 × 64,133.14
  4. Step 4: Simplify right side
    101,629.26x = 9,774,858,946.41
  5. Step 5: Solve for x
    x = 9,774,858,946.41/101,629.26
  6. Step 6: Final answer
    x = 96,181.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.